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Omni-MATH / Suppose that point D lies on side BC of triangle ABC such that AD bisects ∠BAC, and let ℓ denote the line through A perpendicular to AD. If the distances from B and C to ℓ are 5 an…

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problem

Suppose that point DD lies on side BCB C of triangle ABCA B C such that ADA D bisects ∠BAC\angle B A C, and let ℓ\ell denote the line through AA perpendicular to ADA D. If the distances from BB and CC to ℓ\ell are 5 and 6 , respectively, compute ADA D.
Plain-text mathematical notation (without MathML)
Suppose that point D lies on side BC of triangle ABC such that AD bisects ∠BAC, and let ℓ denote the line through A perpendicular to AD. If the distances from B and C to ℓ are 5 and 6 , respectively, compute AD.
Original LaTeX notation
Suppose that point $D$ lies on side $B C$ of triangle $A B C$ such that $A D$ bisects $\angle B A C$, and let $\ell$ denote the line through $A$ perpendicular to $A D$. If the distances from $B$ and $C$ to $\ell$ are 5 and 6 , respectively, compute $A D$.

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Source and history

task_id
29648487-cafd-57cc-9112-1b255d5a0307
task_key
test--29648487-cafd-57cc-9112-1b255d5a0307
task_revision_id
1
config / split
/ test

Official source

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